Class 9 Maths Chapter 7 MCQs with Answers – The Mathematics of Maybe: Introduction to Probability

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Practise these 15 Class 9 Maths Chapter 7 MCQs with answers to understand the basics of probability. Explore simple experiments involving coins, dice, cards, and everyday events through multiple-choice questions.

Try all 15 questions before checking the answer key and explanations at the end.

How to practise: Read each question carefully, select the correct option, and check your answers after completing the quiz.

15 MCQs for Class 9 Maths Chapter 7 – Introduction to Probability

Question 1. What is the probability of getting a head when a fair coin is tossed once?

A. 0

B. 1/4

C. 1/2

D. 1

Question 2. A fair six-sided die is rolled once. What is the probability of getting a 4?

A. 1/2

B. 1/3

C. 1/6

D. 1/4

Question 3. What is the probability of getting an even number when a fair die is rolled once?

A. 1/6

B. 1/3

C. 1/2

D. 2/3

Question 4. What is the probability of getting a number greater than 6 on a standard six-sided die?

A. 0

B. 1/6

C. 1/2

D. 1

Question 5. A fair coin is tossed once. What is the probability of getting a tail?

A. 0

B. 1/4

C. 1/2

D. 1

Question 6. A bag contains 3 red balls and 2 blue balls. One ball is selected at random. What is the probability of selecting a red ball?

A. 2/5

B. 3/5

C. 1/2

D. 3/2

Question 7. A fair die is rolled once. What is the probability of getting an odd number?

A. 1/6

B. 1/3

C. 1/2

D. 5/6

Question 8. Which of the following values cannot be the probability of an event?

A. 0

B. 1/2

C. 1

D. 5/4

Question 9. A card is selected at random from cards numbered 1 to 10. What is the probability of selecting the number 7?

A. 1/2

B. 1/5

C. 1/10

D. 7/10

Question 10. A fair die is rolled once. What is the probability of getting a number less than 3?

A. 1/6

B. 1/3

C. 1/2

D. 2/3

Question 11. A bag contains 4 green balls and 6 yellow balls. What is the probability of selecting a yellow ball at random?

A. 2/5

B. 3/5

C. 4/5

D. 1/2

Question 12. What is the sum of the probabilities of all possible outcomes of a random experiment?

A. 0

B. 1/2

C. 1

D. 2

Question 13. A fair coin is tossed twice. What is the probability of getting two heads?

A. 1/2

B. 1/3

C. 1/4

D. 3/4

Question 14. A number is chosen at random from 1 to 8. What is the probability of choosing a multiple of 4?

A. 1/8

B. 1/4

C. 1/2

D. 3/4

Question 15. Which statement about probability is correct?

A. Probability is always greater than 1.

B. Probability is always negative.

C. Probability lies between 0 and 1, inclusive.

D. Probability can never be 0.

Answer Key with Explanations – Class 9 Maths Chapter 7

Question 1 — Correct Answer: C. 1/2

A fair coin has two equally likely outcomes: head and tail. Therefore, the probability of a head is 1/2.

Question 2 — Correct Answer: C. 1/6

A standard die has six equally likely outcomes, and only one outcome is 4. Probability = 1/6.

Question 3 — Correct Answer: C. 1/2

The even outcomes are 2, 4 and 6. Probability = 3/6 = 1/2.

Question 4 — Correct Answer: A. 0

A standard six-sided die has outcomes from 1 to 6. Getting a number greater than 6 is impossible, so its probability is 0.

Question 5 — Correct Answer: C. 1/2

A fair coin has two equally likely outcomes. The probability of a tail is 1/2.

Question 6 — Correct Answer: B. 3/5

Total balls = 3 + 2 = 5. Probability of red = 3/5.

Question 7 — Correct Answer: C. 1/2

The odd outcomes are 1, 3 and 5. Probability = 3/6 = 1/2.

Question 8 — Correct Answer: D. 5/4

A probability must lie between 0 and 1, inclusive. Since 5/4 is greater than 1, it cannot be a probability.

Question 9 — Correct Answer: C. 1/10

There are 10 equally likely cards and only one card numbered 7. Probability = 1/10.

Question 10 — Correct Answer: B. 1/3

The outcomes less than 3 are 1 and 2. Probability = 2/6 = 1/3.

Question 11 — Correct Answer: B. 3/5

Total balls = 4 + 6 = 10. Probability of yellow = 6/10 = 3/5.

Question 12 — Correct Answer: C. 1

The probabilities of all mutually exclusive outcomes that together cover every possible outcome add up to 1.

Question 13 — Correct Answer: C. 1/4

The equally likely outcomes are HH, HT, TH and TT. Only HH gives two heads, so the probability is 1/4.

Question 14 — Correct Answer: B. 1/4

The multiples of 4 from 1 to 8 are 4 and 8. Probability = 2/8 = 1/4.

Question 15 — Correct Answer: C. Probability lies between 0 and 1, inclusive.

An impossible event has probability 0, and a certain event has probability 1. Every probability lies between these values.

Quick Revision

  • Probability: A numerical measure of the likelihood of an event.
  • Impossible event: Probability = 0.
  • Certain event: Probability = 1.
  • For equally likely outcomes: Probability = Number of favourable outcomes ÷ Total number of possible outcomes.
  • Probability range: 0 ≤ P(E) ≤ 1.

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